Created
July 1, 2016 18:08
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minimal test case
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\makeatletter | |
\def\input@path{{/home/nbecker/interference/}} | |
\makeatother | |
\documentclass[english]{beamer} | |
\usepackage{amsmath} | |
\usepackage{fontspec} | |
\usepackage{unicode-math} | |
\setcounter{secnumdepth}{3} | |
\setcounter{tocdepth}{3} | |
\makeatletter | |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% LyX specific LaTeX commands. | |
%% Because html converters don't know tabularnewline | |
\providecommand{\tabularnewline}{\\} | |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Textclass specific LaTeX commands. | |
% this default might be overridden by plain title style | |
\newcommand\makebeamertitle{\frame{\maketitle}}% | |
% (ERT) argument for the TOC | |
\AtBeginDocument{% | |
\let\origtableofcontents=\tableofcontents | |
\def\tableofcontents{\@ifnextchar[{\origtableofcontents}{\gobbletableofcontents}} | |
\def\gobbletableofcontents#1{\origtableofcontents} | |
} | |
\makeatother | |
\usepackage{polyglossia} | |
\setdefaultlanguage{english} | |
\begin{document} | |
\begin{frame}{What should we expect (OFDM)?} | |
\begin{itemize} | |
\item OFDM approach | |
\begin{itemize} | |
\item If interference covers $1/M$ of the carrier spectrum, we loose $1/M$ | |
of the symbols, which is like $1/M$ of the signal power | |
\item So if we loose 1/10 of the carriers, it's like receiving 9/10 of the | |
signal. | |
\item coding is equivalent to combining the symbols \emph{coherently}, so | |
we should expect to have to boost the signal by $20\log_{10}(0.9)=0.92\text{{dB}}$ | |
\item In general, the loss is | |
\[ | |
20\log_{10}(1-1/M) | |
\] | |
\end{itemize} | |
\end{itemize} | |
\end{frame} | |
\end{document} |
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